MODIFIED DISPERSION RELATIONS: FROM BLACK-HOLE ENTROPY TO THE COSMOLOGICAL CONSTANT

REMO GARATTINI
2012 International Journal of Modern Physics, Conference Series  
Quantum Field Theory is plagued by divergences in the attempt to calculate physical quantities. Standard techniques of regularization and renormalization are used to keep under control such a problem. In this paper we would like to use a different scheme based on Modified Dispersion Relations (MDR) to remove infinities appearing in one loop approximation in contrast to what happens in conventional approaches. In particular, we apply the MDR regularization to the computation of the entropy of a
more » ... chwarzschild black hole from one side and the Zero Point Energy (ZPE) of the graviton from the other side. The graviton ZPE is connected to the cosmological constant by means of of the Wheeler-DeWitt equation.
doi:10.1142/s2010194512007441 fatcat:hwxmryeg3faylfiyb72mk4237m